Question

Срочно 20 баллов, 1-ую плиз!

Answer 1

$lim_{n to infty} frac{sqrt{2 n^{2}+1 } }{2n-7}= lim_{n to infty} frac{ frac{sqrt{2 n^{2}+1 }}{n} }{ frac{2n-7}{n} } = frac{ sqrt{ frac{2 n^{2}+1}{ n^{2} } } }{2- frac{7}{n} }$$= frac{ sqrt{ 2+ frac{1}{ n^{2} } } }{2- 0 } = frac{ sqrt{2} }{2}$